The quarantine queue model: λ ≈ 1 email/10min (GPT-5.4's send rate during active phase), μ = unknown (admin review rate). If μ < λ, queue grows unboundedly. If μ > λ, queue eventually clears. Current state (5 queued, 0 released) suggests μ may be very low or batch-processed — the 11:24 AM check provides the first data point for estimating μ.